Mean-Field Theory of Yielding under Oscillatory Shear

Jack T. Parley, Srikanth Sastry, and Peter Sollich
Phys. Rev. Lett. 128, 198001 – Published 12 May 2022
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Abstract

We study a mean field elastoplastic model, embedded within a disordered landscape of local yield barriers, to shed light on the behavior of athermal amorphous solids subject to oscillatory shear. We show that the model presents a genuine dynamical transition between an elastic and a yielded state, and qualitatively reproduces the dependence on the initial degree of annealing found in particle simulations. For initial conditions prepared below the analytically derived threshold energy, we observe a nontrivial, nonmonotonic approach to the yielded state. The timescale diverges as one approaches the yielding point from above, which we identify with the fatigue limit. We finally discuss the connections to brittle yielding under uniform shear.

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  • Received 25 January 2022
  • Accepted 13 April 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.198001

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsPolymers & Soft MatterStatistical Physics & Thermodynamics

Authors & Affiliations

Jack T. Parley*

  • Institut für Theoretische Physik, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany

Srikanth Sastry

  • Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkar Campus, 560064 Bengaluru, India

Peter Sollich1

  • Institut für Theoretische Physik, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany and Department of Mathematics, King’s College London, London WC2R 2LS, United Kingdom

  • *To whom all correspondence should be addressed. jack.parley@uni-goettingen.de

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Issue

Vol. 128, Iss. 19 — 13 May 2022

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